Harmonic Analysis and PDE: Fluid Mechanics and Kato's Problem

Programme	(new!)
Dates:	March 9 to 13, 2009
Place:	Centre de Recerca Matemàtica (CRM), Bellaterra, Barcelona, Spain	How to reach the CRM

Goals

The main goal of the courses is to offer to graduate students and interested researchers introductory expositions to two topics in PDE very much related to singular integrals of Calderón-Zygmund type. On one hand Diego Córdoba will explain the formulation of Euler and Navier-Stokes equations from basic principles, will show the use on singular integrals in their study and will then cover some topics of more recent interest: vortex patches and interface problems. On the other hand, Michael Lacey will explain the solution of the Kato problem on the domain of square roots of accretive operators. In dimension one this is equivalent to L² estimates for the Cauchy integral on Lipschitz graphs and in higher dimensions the proof depends on the T(b) Theorem as shown by Auscher, Lacey, McIntosh, Hofmann and Tchamichan.

Coordinators

• Xavier Tolsa, Universitat Autònoma de Barcelona
• Joan Verdera, Universitat Autònoma de Barcelona

Speakers

• Michael Lacey, Georgia Institute of Technology
  Diego Córdoba, Consejo Superior de Investigaciones Científicas

Registration

The on-line registration system enables the following actions:

• Register to the activity.
• Pay the registration fee.

Deadline for registration and payment:

February 2, 2009

Registration fee: 30 Euros, including participation to the lectures, documentation package and coffee breaks.

• Registration

Accommodation

Participants are encouraged to book their lodging as soon as possible.

• Information on accommodation options for participants

For further information, please contact the CRM Administration.